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Chapter 6 Class 9 Lines and Angles
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Ex 6.1, 5 - In figure, POQ is a line. Ray OR is perpendicular - Ex 6.1

Ex 6.1, 5 - Chapter 6 Class 9 Lines and Angles - Part 2

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Ex 6.1, 5 In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS = 1/2 (∠QOS – ∠POS ) Since OR ⊥ PQ Hence, ∠ ROP = 90° & ∠ ROQ = 90° We can say that ∠ ROP = ∠ ROQ ∠ POS + ∠ ROS = ∠ ROQ ∠ POS + ∠ ROS = ∠ QOS – ∠ ROS ∠ SOR + ∠ ROS = ∠ QOS – ∠ POS 2(∠ ROS) = ∠ QOS – ∠ POS ∠ ROS = 1/2 ("∠ QOS – ∠ POS" ) ∠ ROS = 1/2 ("∠ QOS – ∠ POS" ) Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.